Search a number
-
+
1980001980000 = 253254111019901
BaseRepresentation
bin11100110100000001010…
…100001000111001100000
321000021201202001011202200
4130310001110020321200
5224420021001330000
64113333402013200
7263023203065532
oct34640124107140
97007652034680
101980001980000
116a3794554430
1227b8a27a7200
13114937400a45
146bb92961852
1536787503500
hex1cd01508e60

1980001980000 has 720 divisors, whose sum is σ = 7752455382672. Its totient is φ = 475200000000.

The previous prime is 1980001979981. The next prime is 1980001980023. The reversal of 1980001980000 is 891000891.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 199975050 + ... + 199984950.

Almost surely, 21980001980000 is an apocalyptic number.

1980001980000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980001980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3876227691336).

1980001980000 is an abundant number, since it is smaller than the sum of its proper divisors (5772453402672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1980001980000 is a wasteful number, since it uses less digits than its factorization.

1980001980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10049 (or 10023 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

Adding to 1980001980000 its reverse (891000891), we get a palindrome (1980892980891).

The spelling of 1980001980000 in words is "one trillion, nine hundred eighty billion, one million, nine hundred eighty thousand".